The problem asks to convert the given binary instruction $0010100111111100$ into hexadecimal format, and to provide one use of hexadecimal notation in computer science.

Discrete MathematicsNumber SystemsBinaryHexadecimalComputer Science
2025/7/20

1. Problem Description

The problem asks to convert the given binary instruction 00101001111111000010100111111100 into hexadecimal format, and to provide one use of hexadecimal notation in computer science.

2. Solution Steps

a) Convert the binary instruction into hexadecimal.
First, we need to group the binary digits into groups of 4, starting from the right:
0010 1001 1111 11000010\ 1001\ 1111\ 1100
Now, we convert each group of 4 binary digits into its hexadecimal equivalent.
00100010 is equal to 22 in decimal, so it is 22 in hexadecimal.
10011001 is equal to 99 in decimal, so it is 99 in hexadecimal.
11111111 is equal to 1515 in decimal, so it is FF in hexadecimal.
11001100 is equal to 1212 in decimal, so it is CC in hexadecimal.
Therefore, the hexadecimal equivalent of the binary instruction is 29FC29FC.
b) Give one use of hexadecimal notation in computer science.
Hexadecimal notation is commonly used to represent memory addresses in computer science.

3. Final Answer

a) 29FC29FC
b) Representing memory addresses.

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