Question: Question 1 (a) Find the largest decimal number that can be written in base 2 using 6 binary digits . Show your work. (b) What

Question 1

(a) Find the largest decimal number that can be written in base 2 using 6 binary digits. Show your work.

(b) What is the value of 1/32 in binary? Show your work.

(c) Perform the base calculation for the following number system:

i. Perform the base 16 calculation 7B 5E, writing your answer in base 16. Show your work.

ii. Perform the base 16 calculation 1CA90, writing your answer in base 16. Show your work.

(d) The multiplication of two positive integer numbers is 9222 and the difference between them is 19. Find the sum of the numbers. Show your answer in details.

(e) Evaluate ³ 512₈ as a number in the decimal system. Show your work.

(f) Find the answer for the following questions: Show your work.

i. (11011)₂+ (11011)₂

ii. (10111)₂ (10001)₂

iii. (11011)₂ (11011)₂

iv. (11011)₂ (110)₂

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