Convert the following and make sure you show all steps: (IN TEXT NOT HAND WRITTEN) A. (1111) 2 To _________10 B. (101101) 2 To __________10 C. 51 10 To (___________)2 D. 111 10 To (___________)2
Convert the following and make sure you show all steps: (IN TEXT NOT HAND WRITTEN) A. (1111) 2 To _________10 B. (101101) 2 To __________10 C. 51 10 To (___________)2 D. 111 10 To (___________)2
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
Convert the following and make sure you show all steps: (IN TEXT NOT HAND WRITTEN)
A. (1111) 2 To _________10
B. (101101) 2 To __________10
C. 51 10 To (___________)2
D. 111 10 To (___________)2
Expert Solution
Step 1
a) (1111)2
(1 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰)
= 8 + 4 + 2 +1
=(15)₁₀
(1111)2 = (15)₁₀
b) 1011012
(1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰)
= 32 + 0 +8 +4 + 0 +1
= (45)₁₀
1011012 = 4510
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