UNIT STANDARD 9010: Demonstrate an understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations.

LEARNER ACTIVITY 6

Subtract the following binary numbers:

[tex]\[ 1011 - 101 \][/tex]

(Convert these binary numbers to decimal numbers at the end and check to see if the subtraction is correct.)

Question

07-07-2024
Mathematics

Answered

UNIT STANDARD 9010: Demonstrate an understanding of the use of different number bases and measurement units and an awareness of error in the context of relevant calculations.

LEARNER ACTIVITY 6

Subtract the following binary numbers:

[tex]\[ 1011 - 101 \][/tex]

(Convert these binary numbers to decimal numbers at the end and check to see if the subtraction is correct.)

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-07-07T07:37:56-04:00

Final answer:

Binary numbers are essential in computing and involve a weighted system using 0s and 1s. Subtraction of binary numbers follows a borrowing process similar to decimal subtraction.

Explanation:

Binary numbers are represented using 0s and 1s in a weighted system. To subtract binary numbers like 1011 - 101, you borrow just like in decimal subtraction. The result is 1010, which in decimal form is 10.

Converting binary numbers to decimal involves multiplying each digit by the corresponding power of 2. For instance, 1011.1011 in binary is equal to 11.6875 in decimal. Binary numbers are vital in computing due to their simple representation in digital electronics.

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