Converting hexadecimal to binary using nibbles

Tip: Choose Save as PDF in the print dialog to download. Use A4 paper size.

Converting hexadecimal to binary using nibbles

Name:
Date:
Class:
A

Quick Questions

Shade in the A or B circle for each question.

1. Which is the correct binary for hex A3?
A 1010 11
B 1010 0011
2. How many bits does each hex digit become?
A 4 bits (a nibble)
B 8 bits (a byte)
3. Which is hex digit 3 written as a full nibble?
A 0011
B 11
4. Which is the correct binary for hex 2F?
A 10 1111
B 0010 1111
5. Which nibble is hex digit B?
A 1011
B 1101
B

Match the Pairs

Draw a line connecting each item on the left to its match on the right.

Left columnRight column
1A3 = 1010 0011 AThe leading zero was dropped, so only 3 bits are written. The nibble should be 0111.
25 = 0101 BA single hex digit is written as 4 bits, so the leading zero is kept
3Always write 4 bits for each hex digit, even when the digit is small CReplace A with 1010 and 3 with 0011, then join the two nibbles to get 10100011
4Convert each hex digit separately, then join the nibbles to make the full binary number DThe nibble for 4 has only 3 bits because its leading zeros were left out. It should be 0100, so B4 = 1011 0100.
57 = 111 E3F = 0011 1111
6B4 = 1011 100 F2 = 0010
C

Definitions

A3 = 1010 0011
D

Fill in the Blanks

Complete each line of code by filling in the missing parts.

1.
A = 1010 3 = ____
2.
Each hex digit becomes _ bits
3.
5 = _101
4.
2C = 0010 ____
5.
_7 = 1011 0111
E

Spot the Error

Shade in the letter of the line that contains an error.

Question 1
A Hex: A3
B A = 1010
C 3 = 11
D Binary: 1010 0011
Question 2
A Each hex digit = 8 bits
B 7 = 0111
C C = 1100
D Binary: 0111 1100
Question 3
A Hex: 5B
B 5 = 0101
C B = 1101
D Binary: 0101 1011
Question 4
A Hex: 1E
B 1 = 1000
C E = 1110
D Binary: 0001 1110
Question 5
A Hex: 9C
B 9 = 1010
C C = 1100
D Join: 1001 1100

Answer Key

Converting hexadecimal to binary using nibbles
Section A: Quick Questions
Q1
B — 1010 0011
Q2
A — 4 bits (a nibble)
Q3
A — 0011
Q4
B — 0010 1111
Q5
A — 1011
Section B: Match the Pairs
Q1
A3 = 1010 0011 → Replace A with 1010 and 3 with 0011, then join the two nibbles to get 10100011
Q2
5 = 0101 → A single hex digit is written as 4 bits, so the leading zero is kept
Q3
Always write 4 bits for each hex digit, even when the digit is small → 2 = 0010
Q4
Convert each hex digit separately, then join the nibbles to make the full binary number → 3F = 0011 1111
Q5
7 = 111 → The leading zero was dropped, so only 3 bits are written. The nibble should be 0111.
Q6
B4 = 1011 100 → The nibble for 4 has only 3 bits because its leading zeros were left out. It should be 0100, so B4 = 1011 0100.
Section C: Definitions
Q1
A3 = 1010 0011 — Hex to binary: replace each hex digit with its 4-bit nibble, keeping leading zeros, then join the groups. A is 1010 and 3 is 0011, so A3 is 10100011.
Section D: Fill in the Blanks
Q1
A = 1010 3 = 0011
Q2
Each hex digit becomes 4 bits
Q3
5 = 0101
Q4
2C = 0010 1100
Q5
B7 = 1011 0111
Section E: Spot the Error
Q1
C — Each hex digit must be written as a full 4-bit nibble, so the leading zeros must be kept. 3 should be 0011.
Q2
A — One hex digit is always converted to 4 bits (a nibble), not 8 bits. The first line should say 4 bits.
Q3
C — B is 11 in denary, which is 1011 in binary. 1101 is the nibble for D.
Q4
B — 1 in 4-bit binary is 0001. 1000 is the nibble for 8.
Q5
B — 9 is 8 + 1, so its nibble is 1001. 1010 is the nibble for A.