AMU 2026 — Computer PYQ

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Question

AMU 2026 — Computer PYQ

AMU | Computer | 2026

A BCD (Binary Coded Decimal) code represents each decimal digit with a 4-bit binary code. What is the BCD code for the decimal number 97?

Choose the correct answer:

Explanation

Binary Coded Decimal (BCD), specifically the 8421 BCD code, works by converting each individual decimal digit of a number directly into its independent $4 -bit$ unsigned binary equivalent.

To convert the decimal number $9 7_{10}$ to BCD, we separate the digits into the tens place and the ones place:

$Decimal Number: 97$

Now, convert each digit to its corresponding $4 -bit$ binary equivalent vector using the standard weights $(8, 4, 2, 1)$ :

For the digit 9:
$9 = 8 + 1 ⟶ (1 \times 8) + (0 \times 4) + (0 \times 2) + (1 \times 1)$
$Binary pattern = 100 1_{2}$
For the digit 7:
$7 = 4 + 2 + 1 ⟶ (0 \times 8) + (1 \times 4) + (1 \times 2) + (1 \times 1)$
$Binary pattern = 011 1_{2}$

Final Composition

Group the two independent $4 -bit$ segments together in order:

$BCD (97) = [1001] [0111]$

This matches the configuration shown in option (c).